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Finding the Fourth Proportional to 12,005.78, 18,009.35 and 3,241.38

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Solution

The fourth proportional to 12,005.78, 18,009.35 and 3,241.38 is: 4,862.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.78 : 18,009.35 = 3,241.38 : x
  2. Step 2: Convert to fraction form
    12,005.78/18,009.35 = 3,241.38/x
  3. Step 3: Cross multiply
    12,005.78x = 18,009.35 × 3,241.38
  4. Step 4: Simplify right side
    12,005.78x = 58,375,146.90
  5. Step 5: Solve for x
    x = 58,375,146.90/12,005.78
  6. Step 6: Final answer
    x = 4,862.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.